Please use this identifier to cite or link to this item:
|Type:||Artigo de periódico|
|Title:||Isometric actions on the projective planes and embedded generators of homotopy groups|
|Abstract:||We determine all orbits of isometric actions on CP2, HP2, and OP2 that are covered by spheres and represent nontrivial classes in the corresponding homotopy groups. As new examples we find orbits that represent generators of pi(5) (HP2) approximate to Z(2) and pi(11) (OP2) approximate to Z(24). These orbits are the quaternionic and octonionic analogues of the quadric z(1)(2) + z(2)(2) + z(3)(2) = 0 in CP2.|
|Editor:||Birkhauser Verlag Ag|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.